• The presentation of your answers matters a lot – you must explain what you are doing and you must use proper mathematical notation (as used in texts, notes etc). Just writing an answer without working is not enough.

Guidelines for submitted work

• This is an academic assignment, however, it is meant to be done by following the methods shown on the lecture notes. There is no referencing required.

• You CANNOT USE any of the internet sites like Wolfram Alpha to help you solve this question, and if you do, you will get 0 marks. It will be obvious so don’t waste time.

• Conduct a spell check yourself and ensure you have a critical friend read and comment on your English usage, grammar, punctuation and other technical issues.

• Please use Microsoft Word Equation to express any mathematical formulas needed, and Microsoft Word to write the assignment.

• You may use graphical or drawing software to show your graphs.

• Please use size 12 font for any written work.

1

What is plagiarism

Plagiarism is when you copy someone else’s answers. Even if you make slight changes in symbols it is still plagiarism. Plagiarism is cheating and is wrong. If it is detected all the people whose answers are extremely similar will get zero marks for the questions involved.

It is a good idea to discuss problems with other people. It is often helpful to work in study groups, but you must write up your answers by yourself and your examples must be unique. Any similarities identified with TURNITIN will be investigated and penalties will be applied.

CALCULUS ASSIGNMENT

Your examples must not be ones included in the material for this course; you are expected to find your own examples. You must also include references for all questions and a proper referencing style must be used such as APA.

Question 1

Explain in your own words the two definitions of the Fundamental Theorem of Calculus. You need to explain their meaning, not just write their formula.

Question 2

Explain with your own examples when and why we can use L’Hopital’s rule to calculate limits and how it should be used.

Question 3

Explain in your own words and using your own function examples (not polynomials, sinx, cosx or e^x), how Taylor Series approximation works. What benefits does a Taylor Series approximating function provide? When are they used?

Question 4

Explain in your own words and using your own examples what is integration, what kind of problems it solves and how it solves them.